A rectangle has length (3x+2) and width (2x+1) .

Express the area of rectangle in terms of x.

Note : Area of rectangle is = length . width


A,6x2+5x+36 x squared plus 5 x plus 3

B,6x2+7x+26 x squared plus 7 x plus 2

C.6x2+26 x squared plus 2

D,(6x+3)open paren 6 x plus 3 close paren

Answers

Answer 1

Answer:

B.) 6x² + 7x + 2

Step-by-step explanation:

(3x + 2) ( 2x + 1)

6x² + 3x + 4x + 2

6x² + 7x + 2


Related Questions

What is the image point of (4,-7)(4,−7) after a translation right 4 units and up 5 units?

Answers

(X+4, Y+5)
A(4,-7)
A’(8,-2)
B(4,-7)
B’(8,-2)

A&B are the original
A’&B’ are the translated

The new coordinate of point (4,−7) after a translation right 4 units and up 5 units is (8,-2).

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the point (4,-7)

If we transformed any point (x,y) to 4 units right then it will add in x so x + 4, and 5 units up then it will add in y so y + 5.

So,

4 units right → 4 + 4 = 8

5 units up → -7 + 5 = -2

So the new coordinate will be (8,-2)

Hence "The new coordinate of point (4,−7) after a translation right 4 units and up 5 units are (8,-2)".

To learn more about the transformation of graphs,

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2(x-6)+3x+4=

Helpppppp.

Answers

Answer:

5x + (-8)

Step-by-step explanation:

2(x-6)+3x+4=

Distribute:

(2)(x)+(2)(−6)+3x+4

=2x+−12+3x+4

Combine Like Terms:

(2x+3x) + (-12+4)

= 5x+(-8)

solve this inequality for x: -46 -8x >22.

Answers

Answer:

Step-by-step explanation:

The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.

-46 - 8x > 22

-8x > 22 + 46

-8x > 68

x < 68/-8        (we divided by -8 so the inequality changed direction)

x < -17/2

Step-by-step explanation:

-46 - 8x > 22: Original problem

-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality

-8x > 68: Simplification

x < 68/-8 : You have to flip the inequality symbol because you are dividing by                                

                  a negative number..

x< -8.5 : The answer!!!!!

Checking your answer....

-46 - 8x > 22 : Original problem

-46 - 8(-8.5) > 22 : Substitution

-46 + 68 > 22 : Simplification

22 > 22 : Answer check successful!!!

(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)

Hope this helps!!!!

A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases the radius increases, it retains its cylindrical shapeAt time of the dough 1/3 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute at the area of the circular surface of the dough increasing with respect to time? Show answer and numerical answer and units of measure.

Answers

Answer:

The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute

Step-by-step explanation:

The given parameters are;

When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute

Therefore, we have;

dr/dt = 2 in./min

The area of the circular surface of the dough, A = π·r²

The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;

dA/dt = d(π·r²)/dt = π·2·r·dr/dt

Where;

r = 12 in.

dr/dt = 2 in./min

Substituting, we have;

dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.

The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.

(15 POINTS!!!) Solve 4 two-step equations:

1. 2x + 12 = 4
2. -5c + 9 = -16
3. -12 = -7 + x/4 (<-- x divided by 4)
4. -n/6 + 4 = 3

Answers

1. X= -4
2. C=5
3. X= -20
4. N= 6

Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
OA. y- 4 - 3(x+2)
OB. y+2 = 3(x- 4)
OC. y-2 - 3(x- 4)
OD. y- 4 - 3(x- 2)

Answers

Answer:

A. y - 4 = 3(x + 2)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line

Plug in the slope and given point:

y - y1 = m(x - x1)

y - 4 = 3(x + 2) is the equation

So, A is the correct answer.

When we're talking about a
chemical equation, what do we
mean when we say products and
reactants?

Answers

We mean that you need to stop cheating

Answer:

The reactantsare the what is used to solve for the products.

Step-by-step explanation:

For example if you the chemical equation C+Ph=CPh C and Ph are the reactants and CPh is the product.

What is the LCM of 2 and 8

Answers

Answer:

its 8

Step-by-step explanation:

Answer:

nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh

Step-by-step explanation:

6 is 16% of what number?​

Answers

Answer:

37.5

Step-by-step explanation:

Answer:

6 is 16% of the number 37.5

Step-by-step explanation:

We have, 16% × x = 6

or, 16/100 × x = 6

Multiplying both sides by 100 and dividing both sides by 16,

we have x = 6 × 100/16

x = 37.5

Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from ground to a final position of −10 feet. Which statement best describes the final positions of these two elevators?

Answers

Answer:

Elevator 1: (0, 0) to (0, 13)

Elevator 2: (0, 0) to (0, -10)

Vertically, the two elevators are now 23 feet apart.

Step-by-step explanation:

I just used the coordinate plane for this. Did it help?

A staffing agency for in-home nurses and support staff places necessary personnel at locations on a daily basis. Each placed nurse works 240 minutes per day at a daily rate of $90. Each support staff employee works 360 minutes per day at a daily rate of $120.
A. On a given day, 3000 total minutes are worked by then nurses and support staff that were placed. Write an equation that represents this relationship
B. On the same day, earnings for placed nurses and support staff totaled $1050. Write an equation that represents this relationship.
C. Solve the system of equations, and interpret the solution in the context of the situation.

Answers

You answer would be C I hope this helps........

Does the graph represent an arithmetic sequence or geometric sequence?

Group of answer choices

Geometric sequence because the graph models a linear function.

Arithmetic sequence because the graph models an exponential function.

Geometric sequence because the graph models an exponential function.

Geometric sequence because the graph models a quadratic function.

Arithmetic sequence because the graph models a linear function.

Arithmetic sequence because the graph models a quadratic function.

Answers

Answer:

it is geometric because it multiplies by a factor of 3


The function g(x) is a transformation of the cube root parent function, f(x) = 3/x . What function is g(x) help
Me

Answers

The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function g(x) is a transformation of the cube root parent function that will be given below.

f(x) = ∛x.

If we subtract h in the variable of the function then the function shifts toward the left by h units.

And if we subtract k in the function then the function shifts downward by k units.

Then the function g(x) will be

g(x) = ∛(x - 4) - 3

Then the correct option is D.

More about the function link is given below.

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Simplify: −2(5) + 2 =

Answers

Answer:

-8

Step-by-step explanation:

-2(5) + 2

-10 + 2

-8

Translate the figure 4 units left and 3 units down.​

Answers

Step-by-step explanation:

Check the photo

~~~~~~~~~~~~~~

The translated equation of line 7y = 4x + 24 is given as 7y = 4x + 3, and the figure is attached below.

What is translation?

A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.

Given:

The figure is shown, The line is passing through (1, 4) and (8, 8),

The equation of the line in the given question can be written as,

y - 8 = (8 - 4) / (8 - 1) (x  - 8)

y - 8 = 4 / 7 (x - 8)

7(y - 8) = 4(x - 8)

7y - 56 = 4x - 32

7y = 4x - 32 + 56

7y = 4x + 24

The slope of the line is 4 / 7

The translated equation can be written as,

y - (-3) = 4 / 7 (x - (-4))

y + 3 = 4 / 7 (x + 4)

Thus, the (1, 4) coordinate will become (-3, 1) and the (8, 8) coordinate will become (4, 5), The figure is attached below.

To know more about translation:

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It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?

Answers

Answer:

$2,854.2

Step-by-step explanation:

For Sebastian

It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.

1 year = 12 months

10 years = x

Cross Multiply

x = 10 × 12 = 120 months

He pays $296.66 monthly

Hence, the total amount he paid in 10 years =

$296.66 × 120

= $35,599.2

The loan he took was $30,000.

Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000

= $5,599.2

For Jana

Jana paid off a loan for the same

amount at the same interest rate in 5 years by paying $545.75 per month.

1 year = 12 months

5 years = x

Cross Multiply

x = 10 × 5 = 60 months

He pays $545.75 monthly

Hence, the total amount he paid in 5 years =

$545.75 × 60

= $32,745

The loan she took was $30,000.

Hence, the interest Sebastian paid on his loan = $32,745 - $30,000

= $2,745

How much more did Sebastian pay in interest than Jana?

This is calculated as:

The interest Sebastian paid - The Interest Jana paid

= $5,599.2 - $2,745

= $2,854.2

Therefore, Sebastian paid $2,854.2 more than Jana

assignment
1 of
POSSIBLE POINTS: 2
Two students, Brian and Alexa, both broke their chromebooks. Brian has $50 in his bank account and makes 12 dollars for every driveway
that he shovels. Alexa has 10 dollars in her bank account but makes $20 for every driveway that she shovels. The graph is shown below
20

Answers

Answer:

8267

Step-by-step explanation

What is the slope (1,5),(10,2)

Answers

Answer:

m=-1/3

Step-by-step explanation

y2=2,y1=5  ,  x2=10  , x1= 1

m=y2-y1/x2-x1

m=2-5/10-1

m=-1/3

3/9 because if u plot the 2 points on a graph it will be 3 up and 9 over.

Please I need help


What is the perimeter of the parallelogram

Answers

Answer: the answer is 12 cm

what is 8 x 23
+ 6
3 + 2

Answers

Answer:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps

195 would be your answer i’m pretty sure

What is the cosine of angle B? Can anyone help with this please? ❤️

Answers

Answer:

a

Step-by-step explanation:

Help with number 2 please

Answers

I’m not sure what the answer is, i’ve been staring at it for quite a while. But i need p0ints, so thank you.

Answer:

3 in a half miles

Step-by-step explanation:

On a particular day, the Dow Jones had a rate of change of -2.1%. Which of the following statements must also be true?

A. The S&P 500 increased.
B. Every stock in the Dow Jones decreased
C. The Nasdaq decreased
D. The average of the 30 stocks in the Dow Jones decreased

Answers

Answer:D

Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased

Someone help me find the roots that this function have in common please

Answers

Answer:

B

Step-by-step explanation:

How do you read the following rate "25 miles/hour"*

Answers

reads “25 miles per hour”

Answer:

you read it as 25 miles per hour

Work out the size of angle x.

Answers

Answer:

13 degrees.

Step-by-step explanation:

First we calculate the other 2 angles of the triangle of which < x is a part.

The bottom angle = 85 (vertical angles are equal).

The top one  = 180 - 98 = 82. ( corresponding and adjacent angles).

So angle x = 180 - (85 + 82).

= 180 - 167

= 13 degrees.

Answer:
13

Explanation:
85 is vertical
98 vertical
180 - 98 = 82
82 vertical
85 + 82 = 167
180 - 167 = 13

help me with the question in the image please help me out :)

Answers

Step-by-step explanation:

(7 + x) / 3 = 2x - 5

7 + x = 3(2x - 5) (multiply 3 on both sides)

7 + x = 6x - 15 (distributive property)

5x = 22 (arrange like terms)

x = 4.4 (divide 5 on both sides)

find the equation of the circle with center at (3 -2) and radius of 3.

Answers

Answer:

(x - 3)² + (y + 2)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Center (3, -2)

h = 3k = -2

Radius r = 3

Step 2: Write Equation

Substitute [EC]:                    (x - 3)² + (y + 2)² = 3²Exponents:                           (x - 3)² + (y + 2)² = 9

25. A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
Atile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?

Answers

.24 chance witch is also called 24%

HELP!!!Will Give Brainliest to correct answer!!! 40 POINTS!!!

Answers

115
Take the total number of items and decide that by the ratio (that will get you one) then multiply by how much you need

Answer:

115

Step-by-step explanation:

The person above is right your ratio is the key to divide all the sizes.

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